(17x-13)+(13x+23)=180

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Solution for (17x-13)+(13x+23)=180 equation: 


Simplifying
(17x + -13) + (13x + 23) = 180

Reorder the terms:
(-13 + 17x) + (13x + 23) = 180

Remove parenthesis around (-13 + 17x)
-13 + 17x + (13x + 23) = 180

Reorder the terms:
-13 + 17x + (23 + 13x) = 180

Remove parenthesis around (23 + 13x)
-13 + 17x + 23 + 13x = 180

Reorder the terms:
-13 + 23 + 17x + 13x = 180

Combine like terms: -13 + 23 = 10
10 + 17x + 13x = 180

Combine like terms: 17x + 13x = 30x
10 + 30x = 180

Solving
10 + 30x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + 30x = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 30x = 180 + -10
30x = 180 + -10

Combine like terms: 180 + -10 = 170
30x = 170

Divide each side by '30'.
x = 5.666666667

Simplifying
x = 5.666666667

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